Information on Result #796460
Digital (111, 148, 1028)-net over F4, using trace code for nets based on digital (0, 37, 257)-net over F256, using
- net from sequence [i] based on digital (0, 256)-sequence over F256, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 0 and N(F) ≥ 257, using
- the rational function field F256(x) [i]
- Niederreiter sequence [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (112, 149, 1028)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (113, 150, 1028)-net over F4 | [i] | ||
| 3 | Digital (111, 147, 1028)-net over F4 | [i] | m-Reduction | |
| 4 | Digital (142, 179, 1058)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 5 | Digital (144, 181, 1061)-net over F4 | [i] | ||
| 6 | Digital (149, 186, 1076)-net over F4 | [i] | ||
| 7 | Digital (151, 188, 1094)-net over F4 | [i] | ||
| 8 | Digital (153, 190, 1104)-net over F4 | [i] | ||
| 9 | Digital (155, 192, 1118)-net over F4 | [i] | ||
| 10 | Digital (157, 194, 1126)-net over F4 | [i] | ||
| 11 | Linear OOA(4148, 1028, F4, 2, 37) (dual of [(1028, 2), 1908, 38]-NRT-code) | [i] | Extracting Embedded OOA | |
| 12 | Linear OOA(4148, 1028, F4, 3, 37) (dual of [(1028, 3), 2936, 38]-NRT-code) | [i] | ||